Question 1

If the coefficient of correlation is a positive value,then the regression equation

Accepted Answer

A) must have a positive slope 
B) must have a negative slope 
C) could have either a positive or a negative slope 
D) must have a positive y intercept 
A) must have a positive slope 
B) must have a negative slope 
C) could have either a positive or a negative slope 
D) must have a positive y intercept

Question 2

In regression analysis,the model in the form  
Is called

Accepted Answer

A) regression equation 
B) correlation equation 
C) estimated regression equation 
D) regression model 
A) regression equation 
B) correlation equation 
C) estimated regression equation 
D) regression model

Question 3

An automobile dealer wants to see if there is a relationship between monthly sales and the interest rate.A random sample of 4 months was taken.The results of the sample are presented below.The estimated least squares regression equation is

= 75.061 - 6.254X
   
a.Obtain a measure of how well the estimated regression line fits the data.
b.You want to test to see if there is a significant relationship between the interest rate and monthly sales at the 1% level of significance.State the null and alternative hypotheses.
c.At 99% confidence,test the hypotheses.
d.Construct a 99% confidence interval for the average monthly sales for all months with a 10% interest rate.
e.Construct a 99% confidence interval for the monthly sales of one month with a 10% interest rate.

Accepted Answer

a.R² = 0.8687 b.H₀

Question 4

Exhibit 14-5
The following information regarding a dependent variable (Y)and an independent variable (X)is provided.
  
-Refer to Exhibit 14-5.The coefficient of determination is

Accepted Answer

A) 0 
B) -1 
C) 0.5 
D) 1 
A) 0 
B) -1 
C) 0.5 
D) 1

Question 5

Researchers have collected data on the hours of television watched in a day and the age of a person.You are given the data below.
   
a.Determine which variable is the dependent variable.
b.Compute the least squares estimated line.
c.Is there a significant relationship between the two variables? Use a .05 level of significance.Be sure to state the null and alternative hypotheses.
d.Compute the coefficient of determination.How would you interpret this value?

Accepted Answer

a.Hours of Television
b.
= 6.564 - 0.124

Question 6

Exhibit 14-3
You are given the following information about y and x.
  
-Refer to Exhibit 14-3.The least squares estimate of b0 equals

Accepted Answer

A) 1 
B) -1 
C) -11 
D) 11 
A) 1 
B) -1 
C) -11 
D) 11

Question 7

Exhibit 14-5
The following information regarding a dependent variable (Y)and an independent variable (X)is provided.
  
-Refer to Exhibit 14-5.The least squares estimate of the slope is

Accepted Answer

A) 1 
B) -1 
C) 0 
D) 3 
A) 1 
B) -1 
C) 0 
D) 3

Question 8

The owner of a bakery wants to analyze the relationship between the expenditure of a customer and the customer's income.A sample of 5 customers is taken and the following information was obtained.
   
The least squares estimated line is

= 4.348 + 0.0826 X. 
a.Obtain a measure of how well the estimated regression line fits the data.
b.You want to test to see if there is a significant relationship between expenditure and income at the 5% level of significance.Be sure to state the null and alternative hypotheses.
c.Construct a 95% confidence interval estimate for the average expenditure for all customers with an income of $20,000.
d.Construct a 95% confidence interval estimate for the expenditure of one customer whose income is $20,000.

Accepted Answer

a.R² = 0.0079 b.H₀

Question 9

Exhibit 14-3
You are given the following information about y and x.
  
-Refer to Exhibit 14-3.The least squares estimate of b1 equals

Accepted Answer

A) 1 
B) -1 
C) -11 
D) 11 
A) 1 
B) -1 
C) -11 
D) 11

Question 10

Exhibit 14-1
The following information regarding a dependent variable (Y)and an independent variable (X)is provided.
   SSE = 6
SST = 16
-Refer to Exhibit 14-1.The MSE is

Accepted Answer

A) 1 
B) 2 
C) 3 
D) 4 
A) 1 
B) 2 
C) 3 
D) 4

Question 11

Exhibit 14-7
You are given the following information about y and x.
  
-Refer to Exhibit 14-7.The least squares estimate of b1 (slope)equals

Accepted Answer

A) -10 
B) 10 
C) 0.5 
D) -0.5 
A) -10 
B) 10 
C) 0.5 
D) -0.5

Question 12

Exhibit 14-8
The following information regarding a dependent variable Y and an independent variable X is provided
  
-Refer to Exhibit 14-8.The coefficient of correlation is

Accepted Answer

A) -0.2295 
B) 0.2295 
C) 0.0527 
D) -0.0572 
A) -0.2295 
B) 0.2295 
C) 0.0527 
D) -0.0572

Question 13

In the following estimated regression equation

Accepted Answer

A) b1 is the slope 
B) b1 is the intercept 
C) b0 is the slope 
D) None of these alternatives is correct. 
A) b1 is the slope 
B) b1 is the intercept 
C) b0 is the slope 
D) None of these alternatives is correct.

Question 14

The value of the coefficient of correlation (R)

Accepted Answer

A) can be equal to the value of the coefficient of determination (R2) 
B) can never be equal to the value of the coefficient of determination (R2) 
C) is always smaller than the value of the coefficient of determination 
D) is always larger than the value of the coefficient of determination 
A) can be equal to the value of the coefficient of determination (R2) 
B) can never be equal to the value of the coefficient of determination (R2) 
C) is always smaller than the value of the coefficient of determination 
D) is always larger than the value of the coefficient of determination

Question 15

If two variables,x and y,have a strong linear relationship,then

Accepted Answer

A) there may or may not be any causal relationship between x and y 
B) x causes y to happen 
C) y causes x to happen 
D) None of these alternatives is correct. 
A) there may or may not be any causal relationship between x and y 
B) x causes y to happen 
C) y causes x to happen 
D) None of these alternatives is correct.

Question 16

Exhibit 14-5
The following information regarding a dependent variable (Y)and an independent variable (X)is provided.
  
-Refer to Exhibit 14-5.The coefficient of correlation is

Accepted Answer

A) 0 
B) -1 
C) 0.5 
D) 1 
A) 0 
B) -1 
C) 0.5 
D) 1

Question 17

Exhibit 14-9
A regression and correlation analysis resulted in the following information regarding a dependent variable (y)and an independent variable (x).
  
-Refer to Exhibit 14-9.The sum of squares due to regression (SSR)is

Accepted Answer

A) 1434 
B) 505.98 
C) 50.598 
D) 928.02 
A) 1434 
B) 505.98 
C) 50.598 
D) 928.02

Question 18

In simple linear regression analysis,which of the following is not true?

Accepted Answer

A) The F test and the t test yield the same conclusion. 
B) The F test and the t test may or may not yield the same conclusion. 
C) The relationship between X and Y is represented by means of a straight line. 
D) The value of F = t2. 
A) The F test and the t test yield the same conclusion. 
B) The F test and the t test may or may not yield the same conclusion. 
C) The relationship between X and Y is represented by means of a straight line. 
D) The value of F = t2.

Question 19

Exhibit 14-6
For the following data the value of SSE = 0.4130.
  
-Refer to Exhibit 14-6.The slope of the regression equation is

Accepted Answer

A) 18 
B) 24 
C) 0.707 
D) -1.5 
A) 18 
B) 24 
C) 0.707 
D) -1.5

Question 20

Exhibit 14-7
You are given the following information about y and x.
  
-Refer to Exhibit 14-7.The least squares estimate of b0 (intercept)equals

Accepted Answer

A) -10 
B) 10 
C) 0.5 
D) -0.5 
A) -10 
B) 10 
C) 0.5 
D) -0.5

If the coefficient of correlation is a positive value,then the regression equation

In regression analysis,the model in the form Is called

Exhibit 14-5 The following information regarding a dependent variable (Y)and an independent variable (X)is provided. -Refer to Exhibit 14-5.The coefficient of determination is

Exhibit 14-3 You are given the following information about y and x. -Refer to Exhibit 14-3.The least squares estimate of b₀ equals

Exhibit 14-5 The following information regarding a dependent variable (Y)and an independent variable (X)is provided. -Refer to Exhibit 14-5.The least squares estimate of the slope is

Exhibit 14-3 You are given the following information about y and x. -Refer to Exhibit 14-3.The least squares estimate of b₁ equals

Exhibit 14-1 The following information regarding a dependent variable (Y)and an independent variable (X)is provided. SSE = 6 SST = 16 -Refer to Exhibit 14-1.The MSE is

Exhibit 14-7 You are given the following information about y and x. -Refer to Exhibit 14-7.The least squares estimate of b₁ (slope)equals

Exhibit 14-8 The following information regarding a dependent variable Y and an independent variable X is provided -Refer to Exhibit 14-8.The coefficient of correlation is

In the following estimated regression equation

The value of the coefficient of correlation (R)

If two variables,x and y,have a strong linear relationship,then

Exhibit 14-5 The following information regarding a dependent variable (Y)and an independent variable (X)is provided. -Refer to Exhibit 14-5.The coefficient of correlation is

Exhibit 14-9 A regression and correlation analysis resulted in the following information regarding a dependent variable (y)and an independent variable (x). -Refer to Exhibit 14-9.The sum of squares due to regression (SSR)is

In simple linear regression analysis,which of the following is not true?

Exhibit 14-6 For the following data the value of SSE = 0.4130. -Refer to Exhibit 14-6.The slope of the regression equation is

Exhibit 14-7 You are given the following information about y and x. -Refer to Exhibit 14-7.The least squares estimate of b₀ (intercept)equals

Data and Statistics

Descriptive Statistics: Tabular and Graphical Presentations

Descriptive Statistics: Numerical Measures

Introduction to Probability

Discrete Probability Distributions

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Tests

Statistical Inference About Means and Proportions With Two Populations

Inferences About Population Variances

Tests of Goodness of Fit and Independence

Analysis of Variance and Experimental Design

Multiple Regression

Regression Analysis: Model Building

Index Numbers

Forecasting

Nonparametric Methods

Statistical Methods for Quality Control

Decision Analysis

Sample Survey

Filters

Exam 14: Simple Linear Regression

If the coefficient of correlation is a positive value,then the regression equation

In regression analysis,the model in the form Is called

Exhibit 14-5 The following information regarding a dependent variable (Y)and an independent variable (X)is provided. -Refer to Exhibit 14-5.The coefficient of determination is

Exhibit 14-3 You are given the following information about y and x. -Refer to Exhibit 14-3.The least squares estimate of b0 equals

Exhibit 14-5 The following information regarding a dependent variable (Y)and an independent variable (X)is provided. -Refer to Exhibit 14-5.The least squares estimate of the slope is

Exhibit 14-3 You are given the following information about y and x. -Refer to Exhibit 14-3.The least squares estimate of b1 equals

Exhibit 14-1 The following information regarding a dependent variable (Y)and an independent variable (X)is provided. SSE = 6 SST = 16 -Refer to Exhibit 14-1.The MSE is

Exhibit 14-7 You are given the following information about y and x. -Refer to Exhibit 14-7.The least squares estimate of b1 (slope)equals

Exhibit 14-8 The following information regarding a dependent variable Y and an independent variable X is provided -Refer to Exhibit 14-8.The coefficient of correlation is

In the following estimated regression equation

The value of the coefficient of correlation (R)

If two variables,x and y,have a strong linear relationship,then

Exhibit 14-5 The following information regarding a dependent variable (Y)and an independent variable (X)is provided. -Refer to Exhibit 14-5.The coefficient of correlation is

Exhibit 14-9 A regression and correlation analysis resulted in the following information regarding a dependent variable (y)and an independent variable (x). -Refer to Exhibit 14-9.The sum of squares due to regression (SSR)is

In simple linear regression analysis,which of the following is not true?

Exhibit 14-6 For the following data the value of SSE = 0.4130. -Refer to Exhibit 14-6.The slope of the regression equation is

Exhibit 14-7 You are given the following information about y and x. -Refer to Exhibit 14-7.The least squares estimate of b0 (intercept)equals

Data and Statistics

Descriptive Statistics: Tabular and Graphical Presentations

Descriptive Statistics: Numerical Measures

Introduction to Probability

Discrete Probability Distributions

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Tests

Statistical Inference About Means and Proportions With Two Populations

Inferences About Population Variances

Tests of Goodness of Fit and Independence

Analysis of Variance and Experimental Design

Multiple Regression

Regression Analysis: Model Building

Index Numbers

Forecasting

Nonparametric Methods

Statistical Methods for Quality Control

Decision Analysis

Sample Survey

Filters

Exhibit 14-3 You are given the following information about y and x. -Refer to Exhibit 14-3.The least squares estimate of b₀ equals

Exhibit 14-3 You are given the following information about y and x. -Refer to Exhibit 14-3.The least squares estimate of b₁ equals

Exhibit 14-7 You are given the following information about y and x. -Refer to Exhibit 14-7.The least squares estimate of b₁ (slope)equals

Exhibit 14-7 You are given the following information about y and x. -Refer to Exhibit 14-7.The least squares estimate of b₀ (intercept)equals